mike | Shared With: Everyone - 23 days ago | puzzles, paint by numbers, logic
mike | Shared With: Everyone - Jan 05 2009 | puzzles, cards
mike | Shared With: Everyone - Oct 13 2008 | google, appengine, puzzazz, puzzles
mike | Shared With: Everyone - Oct 03 2008 | seattle, teachstreet, puzzazz, appengine, google, puzzles
mike | Shared With: Everyone - Sep 29 2008 | puzzles, daily, roy leban
mike | Shared With: Everyone - Sep 11 2008 | pageforest, sample, javascript, web development, puzzles, games
mike | Shared With: Everyone - Jul 01 2008 | books, puzzles, crosswords, roy leban
mike | Shared With: Everyone - May 22 2008 | sudoku, math, group theory, puzzlesThere are only 5 billion essentially distinct Sudoku puzzles (solutions) (proof here using Group Theory and Burnside's Lemma).
mike | Shared With: Everyone - May 11 2008 | sudoku, math, puzzles, programming
mike | Shared With: Everyone - May 10 2008 | math, puzzles
Really interesting problem in recreational mathematics - try to reverse a unit line segment via translations/rotations - but in doing so sweep out a minimal area.
PI/4 is the obvious minimum - but it turns out you can do so in an arbitrarily small area.
What's odd to me, is that any combinations of moves that are either a) rotations about the center and b) translations, CAN NOT achieve an area less than PI/4; so it's counter-intuitive that you can do better than that.
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